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New binary one-generator quasi-cyclic codes

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2 Author(s)
R. Daskalov ; Dept. of Math., Tech. Univ. of Gabrovo, Bulgaria ; P. Hristov

Sixteen new binary quasi-cyclic linear codes improving the best known lower bounds on minimum distance in Brouwer's tables are constructed. The parameters of these codes are [102, 26, 32], [102, 27, 30], [142, 35, 40], [142, 36, 38] [146, 36, 40], [170, 16, 72], [170, 20, 66], [170, 33, 52] [170, 36, 50], [178, 33, 56], [178, 34, 54], [182, 27, 64] [182, 36, 56], [186, 17, 76], [210, 23, 80], [254, 22, 102] Sixty cyclic and thirty quasi-cyclic codes, which attain the respective bounds in Brouwer's table and are not included in Chen's table are presented as well.

Published in:

IEEE Transactions on Information Theory  (Volume:49 ,  Issue: 11 )